Lissajous curve methods for the identification of nonlinear circuits

Calculation of a physical consistent reactive power

Tianqi Hong, Francisco De Leon

Research output: Contribution to journalArticle

Abstract

This paper presents a novel analysis of nonlinear circuits useful for the computation of the reactive power from only terminal measurements. The method computes the reactive power of unknown circuits based on the physical understanding of Maxwell equations. The proposed method is able to identify instantaneous quantities (circuit parameters, powers, etc.) for two physical equivalent models: series and parallel circuits. The parallel equivalent model shows advantages for multi-subsystems. Several numerical examples are provided for validation of the proposed method and to illustrate step-by-step the calculation details. To be compatible with digital instrumentation, a time discrete formulation is used for all calculations. All examples are simulated in MATLAB and the EMTP (Electro-Magnetic Transients Program).

Original languageEnglish (US)
Article number7332990
Pages (from-to)2874-2885
Number of pages12
JournalIEEE Transactions on Circuits and Systems I: Regular Papers
Volume62
Issue number12
DOIs
StatePublished - Dec 1 2015

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Reactive power
Networks (circuits)
Maxwell equations
MATLAB

Keywords

  • Nonlinear circuits
  • Nonsinusoidal excitation
  • Power definitions
  • Power flow
  • Reactive power

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

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abstract = "This paper presents a novel analysis of nonlinear circuits useful for the computation of the reactive power from only terminal measurements. The method computes the reactive power of unknown circuits based on the physical understanding of Maxwell equations. The proposed method is able to identify instantaneous quantities (circuit parameters, powers, etc.) for two physical equivalent models: series and parallel circuits. The parallel equivalent model shows advantages for multi-subsystems. Several numerical examples are provided for validation of the proposed method and to illustrate step-by-step the calculation details. To be compatible with digital instrumentation, a time discrete formulation is used for all calculations. All examples are simulated in MATLAB and the EMTP (Electro-Magnetic Transients Program).",
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AB - This paper presents a novel analysis of nonlinear circuits useful for the computation of the reactive power from only terminal measurements. The method computes the reactive power of unknown circuits based on the physical understanding of Maxwell equations. The proposed method is able to identify instantaneous quantities (circuit parameters, powers, etc.) for two physical equivalent models: series and parallel circuits. The parallel equivalent model shows advantages for multi-subsystems. Several numerical examples are provided for validation of the proposed method and to illustrate step-by-step the calculation details. To be compatible with digital instrumentation, a time discrete formulation is used for all calculations. All examples are simulated in MATLAB and the EMTP (Electro-Magnetic Transients Program).

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